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Q:

In the given figure, in triangle STU, ST = 8 cm,TU = 9 cm and SU = 12 cm. QU = 24 cm, SR = 32 cm and PT = 27 cm. What is the ratio of the area of triangle PQU and area of triangle PTR?

A) 1 : 1 B) 1 : 4
C) 2 : 3 D) Unknown
 
Answer & Explanation Answer: D) Unknown

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

Q:

If x + 3y - 2z4 = 6, x + 232y + 3z = 33 and 17x + y +z + 2z =9,  then what is the value of 46x+ 131y ?

A) 414 B) 364
C) 384 D) 464
 
Answer & Explanation Answer: A) 414

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If 3x + 4y – 2z + 9 = 17, 7x + 2y + 11z + 8 = 23 and 5x + 9y + 6z – 4 = 18, then what is the value of x + y + z – 34?

A) – 28 B) – 14
C) – 31 D) – 45
 
Answer & Explanation Answer: C) – 31

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If a + b = 10 and ab- 13 = -ba - 11, then what is the value of 3ab + 4a2 + 5b2 ?

A) 450 B) 300
C) 600 D) 750
 
Answer & Explanation Answer: B) 300

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If one root of the equation Ax2 +Bx + C = 0 is two and a half times the others, then which of the following is TRUE?

A) 7B2 = 3 CA B) 7B2 = 4 CA
C) 7B2 = 36 CA D) 10B2 = 49 CA
 
Answer & Explanation Answer: D) 10B2 = 49 CA

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If α and β are the roots of equation x2 – 2x + 4 = 0, then what is the equation whose roots are α3/β2 and β3/α2?

A) x2 – 4 x + 8 = 0 B) x2 – 32 x + 4 = 0
C) x2 – 2 x + 4 = 0 D) x2 – 16 x + 4 = 0
 
Answer & Explanation Answer: C) x2 – 2 x + 4 = 0

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If (x + y)/z = 2, then what is the value of [y/(y – z)] + [x/(x – z)]?

A) 0 B) 1
C) 2 D) – 1
 
Answer & Explanation Answer: C) 2

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Filed Under: Simplification
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Q:

If x + y + z = 22 and xy + yz + zx = 35, then what is the value of (x  y)2 + (y  z)2 + (z  x)2?

A) 793 B) 681
C) 758 D) 715
 
Answer & Explanation Answer: C) 758

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Filed Under: Simplification
Exam Prep: Bank Exams